Ising model calculation using PDM neural network hardware: Boltzmann statistical mechanics embedded in the hardware

Author

Yasunaga, Moritoshi ; Hirai, Yuzo

Author_Institution

Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan

Volume

2

fYear

1997

Firstpage

948

Abstract

We have proposed the network configuration for the Ising model calculation using a pulse-density-modulating (PDM) neural network hardware. The hardware consists of 54 asynchronous digital neurons with full interconnections. One logical spin in the Ising model is composed of two physical neuron circuits. We have analyzed the computation results of the hardware and it was demonstrated that the statistical behavior of the hardware was subject to Boltzmann statistical mechanics. Utilizing this intrinsic dynamics, we calculated the magnetization and phase-transfer temperature of the Ising model without any programs and additional circuits, and the results closely agreed with theoretical ones

Keywords

Ising model; digital integrated circuits; neural chips; statistical mechanics; Boltzmann statistical mechanics; Ising model; asynchronous digital neurons; intrinsic dynamics; logical spin; magnetization; network configuration; phase-transfer temperature; pulse-density-modulating neural network hardware; Circuit analysis; Clocks; Counting circuits; Electronic mail; Integrated circuit interconnections; Magnetic circuits; Magnetization; Neural network hardware; Neurons; Temperature;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks,1997., International Conference on

Conference_Location

Houston, TX

Print_ISBN

0-7803-4122-8

Type

conf

DOI

10.1109/ICNN.1997.618071

Filename

618071